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Finding the Fourth Proportional to 11,626.12, 16,044 and 6,320.96

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Solution

The fourth proportional to 11,626.12, 16,044 and 6,320.96 is: 8,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.12 : 16,044 = 6,320.96 : x
  2. Step 2: Convert to fraction form
    11,626.12/16,044 = 6,320.96/x
  3. Step 3: Cross multiply
    11,626.12x = 16,044 × 6,320.96
  4. Step 4: Simplify right side
    11,626.12x = 101,413,482.24
  5. Step 5: Solve for x
    x = 101,413,482.24/11,626.12
  6. Step 6: Final answer
    x = 8,722.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.